Some Hermite Base Polynomials on q-Umbral Algebra

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Dere R.

FILOMAT, cilt.30, sa.4, ss.961-967, 2016 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1604961d
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.961-967
  • Anahtar Kelimeler: Appell sequences, Bernoulli polynomials of higher order, Hermite polynomials of higher order, Umbral algebra, Umbral calculus, CALCULUS, BERNOULLI
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The aim of this paper is to investigate the q-Hermite type polynomials by using umbral calculus methods. Using this method, we derive new type polynomials which are related to the q-Bernoulli polynomials and the q-Hermite type polynomials. Furthermore, we also derive some new identities of those polynomials which are derived from q-umbral calculus.